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Finding the Third Proportional to 20,146.50 and 38,311

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Solution

The third proportional to 20,146.50 and 38,311 is: 72,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.50 : 38,311 = 38,311 : x
  2. Step 2: Convert to fraction form
    20,146.50/38,311 = 38,311/x
  3. Step 3: Cross multiply
    20,146.50x = 38,311 × 38,311
  4. Step 4: Simplify right side
    20,146.50x = 1,467,732,721
  5. Step 5: Solve for x
    x = 1,467,732,721/20,146.50
  6. Step 6: Final answer
    x = 72,852.99

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.